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Random features models play a distinguished role in the theory of deep learning, describing the behavior of neural networks close to their infinite-width limit. In this work, we present a thorough analysis of the generalization performance…

Disordered Systems and Neural Networks · Physics 2025-02-03 Fabián Aguirre-López , Silvio Franz , Mauro Pastore

Often in language and other areas of cognition, whether two components of an object are identical or not determines if it is well formed. We call such constraints identity effects. When developing a system to learn well-formedness from…

Machine Learning · Computer Science 2022-03-03 S. Brugiapaglia , M. Liu , P. Tupper

In this work we consider the learning setting where, in addition to the training set, the learner receives a collection of auxiliary hypotheses originating from other tasks. We focus on a broad class of ERM-based linear algorithms that can…

Machine Learning · Computer Science 2016-10-19 Ilja Kuzborskij , Francesco Orabona

We investigate the level of success a firm achieves depending on which of two common scoring algorithms is used to screen qualified applicants belonging to a disadvantaged group. Both algorithms are trained on data generated by a prejudiced…

Theoretical Economics · Economics 2023-07-18 David J. Jin

The goal of machine learning is to find models that minimize prediction error on data that has not yet been seen. Its operational paradigm assumes access to a dataset $S$ and articulates a scheme for evaluating how well a given model…

Machine Learning · Computer Science 2026-04-22 Maxim Raginsky , Benjamin Recht

Feature selection problems arise in a variety of applications, such as microarray analysis, clinical prediction, text categorization, image classification and face recognition, multi-label learning, and classification of internet traffic.…

Machine Learning · Statistics 2018-02-15 Francisco Macedo , M. Rosário Oliveira , António Pacheco , Rui Valadas

We introduce a novel framework for incorporating human expertise into algorithmic predictions. Our approach leverages human judgment to distinguish inputs which are algorithmically indistinguishable, or "look the same" to predictive…

Machine Learning · Computer Science 2024-10-31 Rohan Alur , Manish Raghavan , Devavrat Shah

Decisions such as which movie to watch next, which song to listen to, or which product to buy online, are increasingly influenced by recommender systems and user models that incorporate information on users' past behaviours, preferences,…

Artificial Intelligence · Computer Science 2023-01-13 Inga Strümke , Marija Slavkovik , Clemens Stachl

The accuracy of machine learning systems is a widely studied research topic. Established techniques such as cross-validation predict the accuracy on unseen data of the classifier produced by applying a given learning method to a given…

Machine Learning · Computer Science 2012-12-06 J. E. Smith , P. Caleb-Solly , M. A. Tahir , D. Sannen , H. van-Brussel

This paper presents an algorithm, Voted Kernel Regularization , that provides the flexibility of using potentially very complex kernel functions such as predictors based on much higher-degree polynomial kernels, while benefitting from…

Machine Learning · Computer Science 2015-09-16 Corinna Cortes , Prasoon Goyal , Vitaly Kuznetsov , Mehryar Mohri

Data-driven predictive models are increasingly used in education to support students, instructors, and administrators. However, there are concerns about the fairness of the predictions and uses of these algorithmic systems. In this…

Computers and Society · Computer Science 2021-04-13 René F. Kizilcec , Hansol Lee

Machine learning algorithms are increasingly used for consequential decision making regarding individuals based on their relevant features. Features that are relevant for accurate decisions may however lead to either explicit or implicit…

Machine Learning · Computer Science 2021-06-09 Sajad Khodadadian , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

We consider the problem of approximating a given element $f$ from a Hilbert space $\mathcal{H}$ by means of greedy algorithms and the application of such procedures to the regression problem in statistical learning theory. We improve on the…

Statistics Theory · Mathematics 2009-09-29 Andrew R. Barron , Albert Cohen , Wolfgang Dahmen , Ronald A. DeVore

This paper studies generalization error bounds for Transformer models. Based on the offset Rademacher complexity, we derive sharper generalization bounds for different Transformer architectures, including single-layer single-head,…

Machine Learning · Computer Science 2026-03-24 Yawen Li , Tao Hu , Zhouhui Lian , Wan Tian , Yijie Peng , Huiming Zhang , Zhongyi Li

The question why deep learning algorithms generalize so well has attracted increasing research interest. However, most of the well-established approaches, such as hypothesis capacity, stability or sparseness, have not provided complete…

Machine Learning · Computer Science 2017-11-07 Tom Zahavy , Bingyi Kang , Alex Sivak , Jiashi Feng , Huan Xu , Shie Mannor

A fundamental challenge in developing general learning algorithms is their tendency to forget past knowledge when adapting to new data. Addressing this problem requires a principled understanding of forgetting; yet, despite decades of…

Machine Learning · Computer Science 2026-02-03 Ben Sanati , Thomas L. Lee , Trevor McInroe , Aidan Scannell , Nikolay Malkin , David Abel , Amos Storkey

We study which machine learning algorithms have tight generalization bounds. First, we present conditions that preclude the existence of tight generalization bounds. Specifically, we show that algorithms that have certain inductive biases…

Machine Learning · Computer Science 2024-10-04 Michael Gastpar , Ido Nachum , Jonathan Shafer , Thomas Weinberger

We consider distributed iterative algorithms for the averaging problem over time-varying topologies. Our focus is on the convergence time of such algorithms when complete (unquantized) information is available, and on the degradation of…

Optimization and Control · Mathematics 2009-01-14 Angelia Nedić , Alex Olshevsky , Asuman Ozdaglar , John Tsitsiklis

An important characteristic of neural networks is their ability to learn representations of the input data with effective features for prediction, which is believed to be a key factor to their superior empirical performance. To better…

Machine Learning · Computer Science 2022-06-06 Zhenmei Shi , Junyi Wei , Yingyu Liang

Multimodal learning leverages the integration of diverse data modalities to enhance performance in complex tasks. Yet, it frequently encounters incomplete or redundant modality data in real-world scenarios. This paper presents a…

Machine Learning · Computer Science 2026-05-05 Richeng Zhou , Xuelin Zhang , Liyuan Liu
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